Stabilized Nonconforming Mixed Finite Element Method for Linear Elasticity on Rectangular or Cubic Meshes

Based on the primal mixed variational formulation, a stabilized nonconforming mixed finite element method is proposed for the linear elasticity on rectangular and cubic meshes. Two kinds of penalty terms are introduced in the stabilized mixed formulation, which are the jump penalty term for the displacement and the divergence penalty term for the stress. We use the classical nonconforming rectangular and cubic elements for the displacement and the discontinuous piecewise polynomial space for the stress, where the discrete space for stress are carefully chosen to guarantee the well-posedness of discrete formulation. The stabilized mixed method is locking-free. The optimal convergence order is derived in the $L^2$-norm for stress and in the broken $H^1$-norm and $L^2$-norm for displacement. A numerical test is carried out to verify the optimal convergence of the stabilized method.     

Determination of traces of Sb(III) using ASV in Sb-rich water samples affected by mining

Chemical speciation [Sb(V) and Sb(III)] affects the mobility, bioavailability and toxicity of antimony. In oxygenated environments Sb(V) dominates whereas thermodynamically unstable Sb(III) may occur. In this study, a simple method for the determination of Sb(III) in non acidic, oxygenated water contaminated with antimony is proposed. The determination of Sb(III) was performed by anodic stripping voltammetry (ASV, 1–20 μg L⁻¹ working range), the total antimony, Sb(tot), was determined either by inductively coupled plasma mass spectrometry (ICP-MS, 1–100 μg L⁻¹ working range) or inductively coupled plasma optical emission spectrometry (ICP-OES, 100–10,000 μg L⁻¹ working range) depending on concentration. Water samples were filtered on site through 0.45 μm pore size filters. The aliquot for determination of Sb(tot) was acidified with 1% (v/v) HNO₃. Different preservatives, namely HCl, L(+) ascorbic acid or L(+) tartaric acid plus HNO₃, were used to assess the stability of Sb(III) in synthetic solutions.The method was tested on groundwater and surface water draining the abandoned mine of Su Suergiu (Sardinia, Italy), an area heavily contaminated with Sb. The waters interacting with Sb-rich mining residues were non acidic, oxygenated, and showed extreme concentrations of Sb(tot) (up to 13,000 μg L⁻¹), with Sb(III) <10% of total antimony. The stabilization with L(+) tartaric acid plus HNO₃ appears useful for the determination of Sb(III) in oxygenated, Sb-rich waters. Due to the instability of Sb(III), analyses should be carried out within 7 days upon the water collection. The main advantage of the proposed method is that it does not require time-consuming preparation steps prior to analysis of Sb(III).     

乙炔氢氯化反应中的负载金-离子液体催化剂:离子态金物种的稳定机制

聚氯乙烯(PVC)作为世界通用工程塑料之一,具有优异的物理、化学和机械性能,在工业、农业、建筑、包装、电力等行业中应用广泛.氯乙烯是生产聚氯乙烯的重要单体.氯乙烯的生产主要有电石法和乙烯法两种工艺路线,由于我国“贫油、富煤、少气”的资源现状,电石法产能占全部产能的83%以上.电石法生产氯乙烯的原理是在氯化汞催化剂存在下,将电石水解精制后的乙炔气与氯化氢加成直接合成氯乙烯.随着节能减排及环保要求的逐渐提高和国际涉汞公约的实施,开发新一代绿色无汞催化剂具有重要的战略意义.近年来,金基催化剂是无汞催化剂基础研究和技术开发中最重要的方向.在之前的工作中,我们课题组首先报道了负载离子液体-金催化剂体系(Au-SILP)在电石法生产氯乙烯工艺中的应用,并发现离子液体的存在可以显著提高金活性物种在载体表面的分散度和稳定其化学价态.在后续研究中,我们在负载离子液体-金催化体系中引入金属铜离子(Cu^2+),利用反应过程中Au-Cu之间的氧化还原循环,设计并制备了金属铜基配位离子液体,构建了负载离子液体-金-铜催化剂体系.铜离子的引入形成了一个催化剂自身维持氧化态的微环境,实现了被还原金物种的原位氧化再生.本文在上述研究基础上,利用配位离子液体[Bmim][N(CN)2]中[N(CN)2^–]阴离子和阳离子金之间的强配位作用,构建出比Au-Cl键更稳定的Au–N键,并通过X射线光电子能谱(XPS)、球差校正-扫描透射电镜(AC-STEM)和扩展X射线吸收精细结构(EXAFS)表征证明了Au以单原子状态存在于载体表面.制备的Au-N(CN)2/AC催化剂在乙炔氢氯化反应中表现出比Au-Cl/AC和Au/AC催化剂更高的稳定性和催化活性以及更短的诱导期.进一步表征分析发现,[N(CN)2^–]配体促进了阳离子金和配体之间的电子转移,提高了阳离子金的电子云密度,削弱了乙炔在阳离子金上的吸附强度,抑制了其还原,提高了催化剂的稳定性.更重要的是,与阳离子金配位的[N(CN)2^–]配体使得反应过程中的氯化氢在氮位点发生化学解离,促进了氯化氢活化,同时降低了反应能垒.对负载配位离子液体-金催化体系反应诱导期的分析结果表明,反应诱导期与反应物(乙炔、氯化氢)分子在离子液体层中的溶解度无关,而主要取决于催化剂中Au(Ⅲ)物种的含量和反应物分子在离子液体中的扩散速率.上述研究结果进一步深化了离子液体和活性金物种之间电子的作用机理,建立了负载离子液体-金催化剂体系对反应物的活化机制和反应机理,为进一步开发具有工业应用价值的乙炔氢氯化反应无汞催化剂提供了科学基础和参考.     

下伏软弱层黄土边坡变形机制分析及治理对策研究

本文研究了陕北某电厂夹断层破碎带上覆黄土的泥岩、砂岩互层反倾边坡的变形机制,并研究治理对策及其治理效果。通过边坡工程地质条件及变形破坏特征分析,建立FLAC3D地质模型,采用数值模拟方法研究了边坡变形破坏机制,在此基础上提出削方减载、锚筋桩、锚杆及坡面防护的综合治理措施。研究结果表明,边坡的变形受开挖坡形的影响,坡体浅表层特别是断层带及坡顶黄土部位出现大范围拉应力集中,断层带出现向坡外的挤出变形,带动上部黄土的牵引式变形,引起沿黄土和基岩基覆界面的剪切变形,在黄土中出现大量拉裂缝,在一定条件下潜在滑移面逐渐贯通,坡体将产生整体失稳。边坡的治理应通过削方减载改善坡体应力环境,并重点控制断层带及黄土与基岩基覆界面的变形,数值模拟结果表明,治理后边坡稳定性较好,满足设计要求。     

Stabilization to a positive equilibrium for some reaction–diffusion systems

The aim of this paper is to study the asymptotic behavior of solutions for some reaction–diffusion systems in biology. First, we establish a Liouville type theorem for entire solutions of these reaction–diffusion systems. Based on this theorem, we derive the stabilization of the solutions of the reaction–diffusion system to the unique positive constant state, under the condition that this positive constant state is globally stable in the corresponding kinetic systems. Two specific examples about spreading phenomena from ecology and epidemiology are given to illustrate the application of this theory.     

Stability and stabilization by output feedback control of positive Takagi–Sugeno fuzzy discrete-time systems with multiple delays

This paper deals with the problem of stabilization by output feedback control of Takagi–Sugeno (T–S) fuzzy discrete-time systems with a fixed delay by linear programming (LP) and cone complementarity while imposing positivity in closed-loop. The stabilization conditions are derived using the single Lyapunov–Krasovskii Functional (LKF). An example of a real plant is studied to show the advantages of the design procedure.     

Molecular design of ambipolar redox-active molecules II: closed-shell systems

This mini-review highlights key structural features that should be taken into account when creating ambipolar redox-active closed-shell metal-free molecules. This type of compound is strongly required for the fabrication of all-organic ‘poleless’ batteries and semiconductors. The suggested strategies aimed at stabilization of both oxidized (cationic) and reduced (anionic) redox-states are based on the comprehensive analysis of the most successful structures taken from the recent publications.     

Stabilization of flow boiling in a micro tube with air injection

Air injection as a stabilization method is evaluated for flow boiling in a micro tube. Pyrex glass tube coated by ITO film is employed as a test tube for flow visualization with water as a working fluid. Air bubble and liquid slug lengths are controlled by changing air and liquid mass velocities. Wall temperatures and inlet/outlet pressures show very large fluctuations during flow boiling without air injection. Severe reverse flow is also observed from flow visualization. On the other hand, wall temperature and inlet/outlet pressures as well as visualized flow patterns become very stable with air injection. In addition, much higher heat transfer coefficients are obtained for air injected cases. It is observed from the flow visualization that the flow becomes much stable and shows regular patterns.